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Description of the business and summary of significant accounting policies: - Revenue recognition (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Description of the business and summary of significant accounting policies:      
Contract costs $ 40.0 $ 31.9  
Maximum contract lengths for billing due upon receipts (in months) 60 months    
Service revenue recognized $ 5.8 6.5 $ 4.9
Amortization expense for contract costs $ 23.2 $ 20.6 $ 19.3